{
 "metadata": {
  "name": "cylowess_testing"
 }, 
 "nbformat": 2, 
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code", 
     "collapsed": true, 
     "input": [
      "'''", 
      "-------------------------------------------------------------------------------", 
      "Filename   : cylowess_testing.ipynb", 
      "Date       : 2012-05-10", 
      "Author     : C. Vogel", 
      "Purpose    : Testing and time of new lowess function", 
      "Input Data : mcycle.csv. A comma-separated file of data from a simulated ", 
      "           : motorcycle accident. From B.W. Silverman (1985), available as an", 
      "           : R dataset in the MASS package.", 
      "Libraries  : Numpy 1.6.1, Matplotlib 1.1.0, Pandas 0.7.3, statsmodels 0.4.0,", 
      "           : and cylowess, a module with the new lowess function.", 
      "-------------------------------------------------------------------------------"
     ], 
     "language": "python", 
     "outputs": []
    }, 
    {
     "cell_type": "code", 
     "collapsed": true, 
     "input": [
      "import cylowess as cyl", 
      "import statsmodels.nonparametric.lowess as smlw", 
      "#import sm_lowess as smlw", 
      "from pandas import *"
     ], 
     "language": "python", 
     "outputs": [], 
     "prompt_number": 1
    }, 
    {
     "cell_type": "code", 
     "collapsed": true, 
     "input": [
      "################################################", 
      "# Comparison of fits:", 
      "# -------------------", 
      "#", 
      "# I use the Silverman motorcycle data to", 
      "# visually compare the results of statsmodels", 
      "# lowess, new lowess, and R's lowess.", 
      "# ", 
      "# The same defaults are used in all three:", 
      "# frac = 0.1 (so k = int(0.1 * n)", 
      "# 3 robustness iters (after the inital fit)", 
      "# no `delta` adjustment in R or new lowess", 
      "################################################"
     ], 
     "language": "python", 
     "outputs": [], 
     "prompt_number": 2
    }, 
    {
     "cell_type": "code", 
     "collapsed": false, 
     "input": [
      "# The Silverman motorcycle data, exported from R's MASS package.", 
      "# time is the number of milliseconds after impact.", 
      "# accel is the acceleration of the vehicle.", 
      "mcycle = read_csv('mcycle.csv')", 
      "time = mcycle['times']", 
      "accel = mcycle['accel']"
     ], 
     "language": "python", 
     "outputs": [], 
     "prompt_number": 3
    }, 
    {
     "cell_type": "code", 
     "collapsed": false, 
     "input": [
      "# Note that the new lowess takes one more `it` than the original,", 
      "# since the first `it` is the initial fit. This is consistent with", 
      "# R.", 
      "sm_lowess = smlw.lowess(accel, time, frac = 0.1, it = 3)", 
      "new_lowess = cyl.lowess(accel, time, frac = 0.1, it = 3)", 
      "# Results from R: lowess(mcycle, delta = 0, f = 0.1, iter = 3)", 
      "r_lowess = read_csv(\"r_lowess_d0_it3_f0-01.csv\")"
     ], 
     "language": "python", 
     "outputs": [], 
     "prompt_number": 4
    }, 
    {
     "cell_type": "code", 
     "collapsed": false, 
     "input": [
      "plt.figure(figsize = (10, 7))", 
      "plt.plot(time, accel, '.', color = \"steelblue\", alpha = 0.25, label = 'Data')", 
      "plt.xlabel('Time after impact (ms)')", 
      "plt.ylabel('Acceleration (g)')", 
      "plt.plot(new_lowess[:,0], new_lowess[:,1], '-', color = 'orange', label = 'New lowess')", 
      "plt.plot(sm_lowess[:,0], sm_lowess[:, 1], '--r', label = 'Statsmodel lowess')", 
      "plt.plot(r_lowess['x'], r_lowess['y'], '+g', label = 'R lowess')", 
      "plt.legend(loc = 'upper left')", 
      "plt.savefig('motorcycle lowess comparisons.png')"
     ], 
     "language": "python", 
     "outputs": [
      {
       "output_type": "display_data", 
       "png": 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FDKf/DjfuALVvXwo7J2cLpy/sssz5uBvNeDD8C0zfdrQgTls8wlEKIQbKt69I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\nGpQdAAAAAElFTkSuQmCC\n"
      }
     ], 
     "prompt_number": 5
    }, 
    {
     "cell_type": "code", 
     "collapsed": false, 
     "input": [
      "# My method matches R but not statsmodels.", 
      "print 'R and New Lowess MAD: %5.2e' % np.mean(np.abs(r_lowess['y'] - new_lowess[:, 1]))", 
      "print 'Statsmodels and New Lowess MAD: %5.2e'  % np.mean(np.abs(sm_lowess[:, 1] - new_lowess[:, 1]))"
     ], 
     "language": "python", 
     "outputs": [
      {
       "output_type": "stream", 
       "stream": "stdout", 
       "text": [
        "R and New Lowess MAD: 1.62e-13", 
        "Statsmodels and New Lowess MAD: 1.48e+00"
       ]
      }
     ], 
     "prompt_number": 6
    }, 
    {
     "cell_type": "code", 
     "collapsed": true, 
     "input": [
      "############################################", 
      "# Timings:", 
      "# --------", 
      "# With 10,000 points, at the default", 
      "# frac, statsmodels lowess is quite slow", 
      "# (around 25 seconds on my machine).", 
      "# The new lowess is substantially faster,", 
      "# and comparable with R (9-11 seconds vs. ", 
      "# 5.1 in R). ", 
      "# Using the delta parameter timings fall", 
      "# to the 100s of milliseconds.", 
      "#", 
      "# Note the timings are done at the default", 
      "# frac of 2/3, which is not a good frac for", 
      "# this data. This is just done for timing", 
      "# purposes. To compare output from stats-", 
      "# models lowess and new lowess with delta,", 
      "# I used a more appropriate, smaller, frac.", 
      "# Both methods are faster with this frac.", 
      "# (About 8 seconds for statsmodels, 3.5", 
      "#  for new lowess w/o delta)", 
      "############################################"
     ], 
     "language": "python", 
     "outputs": [], 
     "prompt_number": 7
    }, 
    {
     "cell_type": "code", 
     "collapsed": true, 
     "input": [
      "# A lot of data. statsmodels lowess is very slow (sometimes up to 25 seconds) on this.", 
      "n = 10000", 
      "x = 20 * np.random.rand(n)", 
      "y = np.sin(x) + 0.5 * np.random.randn(n)"
     ], 
     "language": "python", 
     "outputs": [], 
     "prompt_number": 8
    }, 
    {
     "cell_type": "code", 
     "collapsed": true, 
     "input": [
      "# Default frac of 2/3"
     ], 
     "language": "python", 
     "outputs": [], 
     "prompt_number": 9
    }, 
    {
     "cell_type": "code", 
     "collapsed": false, 
     "input": [
      "%timeit -n 3 smlw.lowess(y, x)"
     ], 
     "language": "python", 
     "outputs": [
      {
       "output_type": "stream", 
       "stream": "stdout", 
       "text": [
        "3 loops, best of 3: 22.8 s per loop"
       ]
      }
     ], 
     "prompt_number": 10
    }, 
    {
     "cell_type": "code", 
     "collapsed": false, 
     "input": [
      "%timeit -n 3 cyl.lowess(y, x)"
     ], 
     "language": "python", 
     "outputs": [
      {
       "output_type": "stream", 
       "stream": "stdout", 
       "text": [
        "3 loops, best of 3: 10.8 s per loop"
       ]
      }
     ], 
     "prompt_number": 11
    }, 
    {
     "cell_type": "code", 
     "collapsed": false, 
     "input": [
      "delta = (x.max() - x.min()) * 0.01", 
      "%timeit -n 3 cyl.lowess(y, x, delta = delta)"
     ], 
     "language": "python", 
     "outputs": [
      {
       "output_type": "stream", 
       "stream": "stdout", 
       "text": [
        "3 loops, best of 3: 125 ms per loop"
       ]
      }
     ], 
     "prompt_number": 12
    }, 
    {
     "cell_type": "code", 
     "collapsed": true, 
     "input": [
      "# Visual comparison"
     ], 
     "language": "python", 
     "outputs": [], 
     "prompt_number": 13
    }, 
    {
     "cell_type": "code", 
     "collapsed": true, 
     "input": [
      "sm_lowess = smlw.lowess(y, x, frac = 0.1)"
     ], 
     "language": "python", 
     "outputs": [], 
     "prompt_number": 14
    }, 
    {
     "cell_type": "code", 
     "collapsed": true, 
     "input": [
      "new_lowess = cyl.lowess(y, x, frac = 0.1, delta = delta)"
     ], 
     "language": "python", 
     "outputs": [], 
     "prompt_number": 15
    }, 
    {
     "cell_type": "code", 
     "collapsed": false, 
     "input": [
      "plt.figure(figsize = (10, 7))", 
      "plt.plot(x, y, '.b', alpha = .03)", 
      "plt.xlabel(r'$x$')", 
      "plt.ylabel(r'$y = \\sin(x) + 0.5 * \\varepsilon$')", 
      "plt.plot(new_lowess[:, 0], new_lowess[:, 1], '-', color = ", 
      "         'orange', lw = 5, label = 'New lowess w/ delta')", 
      "plt.plot(sm_lowess[:, 0], sm_lowess[:, 1], '--r',", 
      "         lw = 3, label = 'Statsmodels lowess')", 
      "plt.legend(loc = 'upper right')", 
      "plt.savefig('sine 10k pts lowess compare.png')"
     ], 
     "language": "python", 
     "outputs": [
      {
       "output_type": "display_data", 
       "png": 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i9WXZzYYcDt9v3eCJN76A5SeXokKT1WoVcexm4ckyb1n+4vIMSw2VSopm09hx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\nf8Zo5O6TL1pVAelCSdaV+Z6MdpQ9oFsiX5X4aH9P9S5VtjoIg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OMbuXjxIhcuXODWW29d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ElSq2Ht9/uwbbPcB5cwTaMq+5DzIGXWomuvoxrf+TzEbBaU9V5y4oKm6bVSFSlyXeDkZIgk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\nyP8HSJFLDKyc5cUAAAAASUVORK5CYII=\n"
      }
     ], 
     "prompt_number": 17
    }, 
    {
     "cell_type": "code", 
     "collapsed": true, 
     "input": [
      "'''", 
      "Some R timings for comparison:", 
      "", 
      "> n = 10000", 
      "> x = 20 * runif(n)", 
      "> y = sin(x) + 0.5 * rnorm(n)", 
      "> ", 
      "> lowess_time_nodelta = system.time({", 
      "+ ys = lowess(x, y, delta = 0)", 
      "+ })", 
      "> ", 
      "> lowess_time_delta = system.time({", 
      "+ # default delta is 0.01 * diff(range(x))", 
      "+ ys = lowess(x, y)", 
      "+ })", 
      "> ", 
      "> print(lowess_time_nodelta)", 
      "   user  system elapsed ", 
      "  5.277   0.001   5.278 ", 
      "> print(lowess_time_delta)", 
      "   user  system elapsed ", 
      "  0.057   0.000   0.057", 
      "'''"
     ], 
     "language": "python", 
     "outputs": []
    }
   ]
  }
 ]
}